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May 3rd, 2010, 11:04 AM   #1
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Circle in an angle


given is a triangle ABC. A circle with center D is tangent to BC, AB and AC at points that lie outside the given triangle. Show that AD passes through the circumcircle of triangle BCD.

I have no idea how to attempt this. Thanks for help.
atreyyu is offline  
May 3rd, 2010, 01:24 PM   #2
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The wording "through the circumcircle" should have been "through the circumcentre". The circumcircle of triangle BCD passes through the incentre, I, of triangle ABC, has ID as a diameter, and the midpoint of ID as its centre, which therefore lies on AD.
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